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A: why 'K' is used in the equation
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Calculate the average of this quantity over 1 cycle.
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- (a) What is the entropy of an Einstein solid with 4 atoms and an energy of 18ε? Express your answer as a multiple of kB . The entropy of the solid is ____ kB.(b) What is the entropy of an Einstein solid in a macropartition that contains 9 ×10690×10690 microstates? Express your answer as a multiple of kB. The entropy of the solid is ____ kB.Which of the following is the carnot efficiency?An irreversible process takes place by which the entropy of the universe increases by 1.52 J/K. If the temperature of the environment in which the process occurred is 280 K, how much energy (in J) was made unavailable for useful work as a result?
- If 370 J of work is performed with 45% efficiency, what is the amount of energy that goes into heating, parasitic losses, etc.? Give your answer in units of joules, to three significant figures.(4) When variables x, y, z are related by F(x, y, z) = 0, show the following relations, by referencing any calculus book. For example, the variables x, y, z are p, V, T in thermodynamics: (a) (b) ( ) (с) :17(2), дz y (x), + ( x), (x) y x () () (), = -1 (Chain relation) Z x y дх = = 0For most automobiles, the number of miles per gallon decreases as highway speed increases. Fuel economy drops as speeds increase from 55 to 65 mph, then decreases further as speeds increase to 75 mph. Explain why this is the case.
- A new electric power plant has an efficiency of 37%. For every 100 barrels of oil needed to run the turbine, how many are essentially lost as waste heat (in barrels of oil) to the environment?Problem 5 Consider a substance that has a melting temperature of T= 159 K at p=1 atm and a melting enthalpy of AHm = 4900 J/mol. Determine the entropy of melting the substance.The entropy of a reversible process is Tds = du + pdv Obtain an expression for the change of entropy as a function of cp, P and T.